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 2 years ago
If tan (theta) =5/4 and cos (theta) < 0 . Find the other trig. functions.
Could someone check my answers?
 2 years ago
If tan (theta) =5/4 and cos (theta) < 0 . Find the other trig. functions. Could someone check my answers?

This Question is Closed

moongazer
 2 years ago
Best ResponseYou've already chosen the best response.1am I right that theta is in quadrant 3 ?

Silent_Sorrow
 2 years ago
Best ResponseYou've already chosen the best response.0Yup, so Sin (theta) < 0 as well

moongazer
 2 years ago
Best ResponseYou've already chosen the best response.1Could you show your answers so that I can check my answers?

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.0No.. you should give your answers so that we can check.. Go ahead..

moongazer
 2 years ago
Best ResponseYou've already chosen the best response.1\[\sin \theta =(5\sqrt{41})/41\] \[\cos \theta = (4\sqrt{41})/41\] \[\tan \theta = 5/4\] \[\csc \theta = \sqrt{41}/5\] \[\sec \theta =\sqrt{41}/4\] \[\cot \theta = 4/5\]

Silent_Sorrow
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1341743660142:dw Just remember "All Science Teachers Crazy" so in the first quad all trig functions are positive, in the 2nd all Sine functions are positive, in the 3rd all Tangent functions are positive so in the 4th all Cosine functions are positive.

moongazer
 2 years ago
Best ResponseYou've already chosen the best response.1Are all my answers correct?

moongazer
 2 years ago
Best ResponseYou've already chosen the best response.1Could someone check it?

moongazer
 2 years ago
Best ResponseYou've already chosen the best response.1@mathslover Are my answers correct?

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0when cos theta is negative then theta lies in 2nd quadrant ..

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0Remember this :Quadrant 1: Cosine is positive and Sine is positive. (x > 0 ; y > 0) just as ( cos(theta) > 0 ; sin(theta) > 0) Quadrant 2: Cosine is negative and Sine is positive. (x < 0; y > 0) just as ( cos(theta) < 0 ; sin(theta) > 0) Quadrant 3: Cosine is negative and Sine is negative. (x < 0 ; y < 0) just as ( cos(theta) < 0 ; sin(theta)< 0) Quadrant 4: Cosine is positive and Sine is negative. ( x > 0 ; y < 0 ) just as ( cos(theta) > 0 ; sin(theta) < 0)

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0So did u get that quadrant 2 : cos theta is negative ?

moongazer
 2 years ago
Best ResponseYou've already chosen the best response.1i'm still reading it :)

moongazer
 2 years ago
Best ResponseYou've already chosen the best response.1But in quadrant 3 cos theta is also negative so why I can't choose it as the location of theta?

moongazer
 2 years ago
Best ResponseYou've already chosen the best response.1isn't it that tan theta is positive in quadrant 3 and according to the given tan theta is positive. So choosing that theta is in quadrant 3 is better?

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0oh yes u r also right but i am not perfect in this topic may be @lalaly do it for u

moongazer
 2 years ago
Best ResponseYou've already chosen the best response.1@lalaly My answers are correct right?

lalaly
 2 years ago
Best ResponseYou've already chosen the best response.1u can describe this as a right triangle \[\tan (\theta)=\frac{opposite}{adjacent}=\frac{5}{4}\]so from this u know that opposite=5 and adjacent =4 dw:1341746704835:dw

lalaly
 2 years ago
Best ResponseYou've already chosen the best response.1now use those values to find the ratios for the other trig functions

moongazer
 2 years ago
Best ResponseYou've already chosen the best response.1But isn't it I can also view asdw:1341747710304:dw

moongazer
 2 years ago
Best ResponseYou've already chosen the best response.1Are my answers right or wrong?

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.1@moongazer you are correct :D

moongazer
 2 years ago
Best ResponseYou've already chosen the best response.1@ash2326 Thanks for that!

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.1you wanna see, the pic I made to check this?

moongazer
 2 years ago
Best ResponseYou've already chosen the best response.1That is also what I am thinking :)
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